Search a number
-
+
10042221441 = 37617839361
BaseRepresentation
bin10010101101001000…
…00010001110000001
3221220212012201001110
421112210002032001
5131031302041231
64340251353533
7503566321350
oct112644021601
927825181043
1010042221441
11429363266a
121b431528a9
13c40681185
146b39d3997
153db94d046
hex256902381

10042221441 has 16 divisors (see below), whose sum is σ = 15553294208. Its totient is φ = 5644339200.

The previous prime is 10042221403. The next prime is 10042221443. The reversal of 10042221441 is 14412224001.

It is not a de Polignac number, because 10042221441 - 229 = 9505350529 is a prime.

It is a super-2 number, since 2×100422214412 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042221443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3918400 + ... + 3920961.

It is an arithmetic number, because the mean of its divisors is an integer number (972080888).

Almost surely, 210042221441 is an apocalyptic number.

It is an amenable number.

10042221441 is a deficient number, since it is larger than the sum of its proper divisors (5511072767).

10042221441 is an equidigital number, since it uses as much as digits as its factorization.

10042221441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7839432.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10042221441 its reverse (14412224001), we get a palindrome (24454445442).

The spelling of 10042221441 in words is "ten billion, forty-two million, two hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 7 21 61 183 427 1281 7839361 23518083 54875527 164626581 478201021 1434603063 3347407147 10042221441